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Finding the Third Proportional to 406,732 and 618,390

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Solution

The third proportional to 406,732 and 618,390 is: 940,192.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,732 : 618,390 = 618,390 : x
  2. Step 2: Convert to fraction form
    406,732/618,390 = 618,390/x
  3. Step 3: Cross multiply
    406,732x = 618,390 × 618,390
  4. Step 4: Simplify right side
    406,732x = 382,406,192,100
  5. Step 5: Solve for x
    x = 382,406,192,100/406,732
  6. Step 6: Final answer
    x = 940,192.05

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.